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RE: Astrophysics tells us that the Big Bang should have produced equal amounts of matter and antimatter,

Hawking pointed out that virtual particle pairs that spontaneously erupted at the Schwarzschild radius of a black hole would sometimes not self annhilate, leading to the creation of new matter, when one particle escaped the radius and it's counterpart didn't.

This same process could have been operating at creation, on a larger scale.

We sure don't know.

I wouldn't necessarily put a lily in it's hands and close the lid just yet. Much still recommends the Big Bang theory, and the absence of a lot of antimatter doesn't prove it didn't get created along with matter.

There are little more than speculations to go on regarding the origin of the universe, and it's even possible that an anti-universe is shrinking in negative dimensions right now where they're trying to figger out the lack of matter, and postulating 'light energy' to explain the slower than expected implosion of the universe...

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I happen to think that there was no 'origin'.
the word 'eternity' comes to mind.

Given our feeble understanding of time both theories could be true. Since spacetime is a single entity, not two separate features of the universe, the eruption of space from a point is also the eruption of time.

In this way, the Big Bang does not have a time that it started, since there was no time before it began.

Our monkey brains really aren't equipped to wrassle such concepts. We try anyway =p

I see no need to concern my self about it.
It doesn't affect my life one way or the other.